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Finding the Fourth Proportional to 298,642.40, 447,445.20 and 193,407.20

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Solution

The fourth proportional to 298,642.40, 447,445.20 and 193,407.20 is: 289,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,642.40 : 447,445.20 = 193,407.20 : x
  2. Step 2: Convert to fraction form
    298,642.40/447,445.20 = 193,407.20/x
  3. Step 3: Cross multiply
    298,642.40x = 447,445.20 × 193,407.20
  4. Step 4: Simplify right side
    298,642.40x = 86,539,123,285.44
  5. Step 5: Solve for x
    x = 86,539,123,285.44/298,642.40
  6. Step 6: Final answer
    x = 289,775.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.